Finding the Third Proportional to 37,618 and 55,243

Step by Step Solution

1. Step 1: Write the proportion equation
   37,618 : 55,243 = 55,243 : x
2. Step 2: Convert to fraction form
   37,618/55,243 = 55,243/x
3. Step 3: Cross multiply
   37,618x = 55,243 × 55,243
4. Step 4: Simplify right side
   37,618x = 3,051,789,049
5. Step 5: Solve for x
   x = 3,051,789,049/37,618
6. Step 6: Final answer
   x = 81,125.77